1
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Question

# A charged particle q is shot from a large distance with speed v towards a fixed charged particle Q. It approaches Q upto a closest distance r and then returns. If q were given a speed 2v, the closest distance of approach would be:

A
r
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B
2r
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C
r2
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D
r4
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Solution

## The correct option is D r4Given: initial velocity =v, final velocity=2vSolution: We know the formula of distance of closest approach :12mv2=k×qQrr∝1vr1r2:(2v)2v2r2=r14Hence the correct option is D

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